what is 5,000,000 divided by 3? I'm trying to make it fair for everyone in the diamond casino heist

Answer:

the slope is 10 so false

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

This is slope-intercept form: y=mx+b

The m is the slope and here the m=10, so the slope is 10, not 6.

The indefinite integral is 343/4 * (x/7)^4 + c.

We substitute x = 7 tan(θ) and then dx/dθ = 7 sec^2(θ), so dx = 7 sec^2(θ) dθ. Also, using the trigonometric identity sec^2(θ) = 1 + tan^2(θ), we have √49 x^2 = √49 (7 tan(θ))^2 = 49 * 7 tan^2(θ). Then:

∫ x/7 √49 x^2 dx = ∫ (7 tan(θ)/7) * (7 sec^2(θ)) * (49 * 7 tan^2(θ)) dθ

= ∫ 343 tan^3(θ) sec^2(θ) dθ

We can use the substitution u = tan(θ), which implies du/dθ = sec^2(θ), so dθ = du/sec^2(θ). Then:

∫ 343 tan^3(θ) sec^2(θ) dθ = ∫ 343 u^3 du = 343 * (u^4/4) + c

= 343 * (tan^4(θ)/4) + c

Finally, we substitute back x = 7 tan(θ), which implies tan^4(θ) = (x/7)^4, to get:

∫ x/7 √49 x^2 dx = 343/4 * (x/7)^4 + c

Therefore, the indefinite integral is 343/4 * (x/7)^4 + c.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Explanation:

We'll use the vertical line test. This is where we try to draw a vertical line through more than one point on the graph. If such a task can be done, then the relation is said to fail the vertical line test. Furthermore, it means the relation is not a function.

Graph A is an example of this. We can draw a vertical line through 2 and have that vertical line cross the blue curve at more than one point. The input x = 2 leads to multiple outputs. Graph C is a similar story, but it only happens when x = 1.

Graphs B and D both pass the vertical line test. It's impossible to draw a single vertical line to cross through more than one point shown on their respective graphs. Any x input in the domain leads to exactly one y output, which in turn means we have functions here.

Answer:

C. 7 cm

Step-by-step explanation:

\(\boxed{\left\begin{array}{ccc}\text{\underline{Volume of a Cylinder:}}\\\\V=\pi r^2h\end{array}\right}\)

Given:

\(V=63 \pi \ cm^3\\\\r=3 \ cm\\\\h=?? \ cm\)

Plug in the values we know into the formula and solve for "h"

\(V=\pi r^2h\\\\\Longrightarrow 63 \pi= \pi(3)^2h\\\\\Longrightarrow 63 = 9h\\\\\therefore \boxed{h=7 \ cm}\)

Thus, C is the correct option.

Answer:

a,e

Step-by-step explanation:

Answer:

A, E

Step-by-step explanation:

lets first solve the equation using distributive property:

-3(x-2)=4x-2(x-1)

-3x+6=4x-2x+2

-3x+6=2x+2    (E)

Now move the like terms on one side:

-3x-2x=2-6

-5x=-4             (A)

Diameter of flu virus particle is 8.1 × 10⁻⁸ meter

Scientific notation is a way of representing numbers that are too large or too small to be easily written in decimal form because they require very long strings of digits to  be written. This is sometimes called scientific or standard exponential format, or British standard format.

Given,

Diameter of water molecule = 2.7 × 10⁻¹⁰ meters

Flu virus particle is 300 times bigger than water molecule

Diameter of flu virus

= 300 × 2.7 × 10⁻¹⁰

= 810 × 10⁻¹⁰

= 8.1 × 10⁻⁸ meter

Hence, 8.1 × 10⁻⁸ meter is the diameter of the Flue virus particle.

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Answer: it B. 2.78%

Step-by-step explanation: if it wrong sorry

Answer:

D

Step-by-step explanation:

we know how to find a percent by making it a fraction out of 100

36/100 is 36% so D

Answer:

x² + y² = 81

Step-by-step explanation:

Standard form for the equation of a circle:  (x - h)² + (y - k)² = r²

(where (h, k) is the center and r is the radius)

Given:

⇒ (x - 0)² + (y - 0)² = 9²

⇒ x² + y² = 81

Answer:

srat

Step-by-step explanation:hehe i really dont know

Answer:

9, 10

Step-by-step explanation:

9² = 81

10² = 100

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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Answer:

5

Step-by-step explanation:

because line AB divided the triangle into two equal halves

The general solution of the differential equation 2(dy/dx) + y - y^3(x - 1) = 0 is: y = ±√[1 - [(1/2) x + C]²]

To find the general solution of the differential equation:

2(dy/dx) + y - y³(x - 1) = 0

Let's rearrange the equation:

2(dy/dx) = y³(x - 1) - y

Divide both sides by 2:

dy/dx = (1/2)(y³(x - 1) - y)

let's separate the variables by bringing all y terms to one side and all x terms to the other side:

dy/[y³(x - 1) - y] = (1/2) dx

To integrate both sides,  to perform a substitution. Let's substitute u = y²:

dy = (du/2√u)

Substituting back into the equation:

(du/2√u) / [u(x - 1) - √u] = (1/2) dx

Next,  simplify the expression further:

du / [2√u(u(x - 1) - √u)] = (1/2) dx

Now, let's integrate both sides:

∫ du / [2√u(u(x - 1) - √u)] = ∫ (1/2) dx

This integral requires a trigonometric substitution. Let's substitute √u = sinθ:

du = 2sinθ cosθ dθ

Substituting back into the equation:

∫ (2sinθ cosθ dθ) / [2√(sinθ)²(sinθ(x - 1) - sinθ)] = (1/2) ∫ dx

Simplifying:

∫ sinθ dθ / √sinθ(sinθ(x - 1) - sinθ) = (1/2) ∫ dx

Now, integrate both sides:

∫ sinθ dθ = (1/2) ∫ dx

This gives us:

-cosθ = (1/2) x + C

Substituting back θ = arcsin(√u):

-cos(arcsin(√u)) = (1/2) x + C

Using the identity cos(arcsin(x)) = √(1 - x²):

-√(1 - (√u)²) = (1/2) x + C

Simplifying:

-√(1 - u) = (1/2) x + C

Substituting back u = y^2:

-√(1 - y^2) = (1/2) x + C

Finally, solving for y:

√(1 - y²) = -[(1/2) x + C]

Square both sides:

1 - y² = [(1/2) x + C]²

Rearranging the equation:

y² = 1 - [(1/2) x + C]²

Taking the square root:

y = ±√[1 - [(1/2) x + C]²]

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Answer: 42 minutes

Step-by-step explanation:

Answer:  \(y = 850(0.943)^t\)

Reason:

The exponential of the form \(y = a*b^x\) has 'a' as the initial term and b as the growth or decay factor.

a = 850 is the starting amount

b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor

If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.

The length of the second lawn, L2, is three times the length of the first lawn, L1, for the given rectangular lawn.

To find the length of the second lawn, we need to determine the area of the first lawn and then calculate the length of the second lawn based on that.

The area of a rectangle can be found by multiplying its length by its width. Given that the width of the first lawn is 60 feet, we can find its area by multiplying 60 feet by the length of the first lawn.

Let's assume the length of the first lawn is L1. So, the area of the first lawn is 60 feet * L1.

The area of the second lawn is three times as big as the area of the first lawn. So, we can write the equation:

Area of second lawn = 3 * Area of first lawn

Substituting the values we know, we have:

60 feet * L2 = 3 * (60 feet * L1)

Now, let's simplify this equation:

L2 = 3 * L1

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The values of T(0) = e(0) = 1, r''(0) = 8, r'(t) = 2e^(2t) - 2e^(-2t), r''(t) = 8e^(2t) + 8e^(-2t).

We are given that r(t) = e^(2t), e^(-2t), te^(2t). To find T(0), we need to evaluate the unit tangent vector T(t) at t=0. The formula for the unit tangent vector is T(t) = r'(t)/|r'(t)|, where |r'(t)| is the magnitude of r'(t).

r'(t) = 2e^(2t) - 2e^(-2t), so r'(0) = 2 - 2 = 0.

Thus, T(0) = r'(0)/|r'(0)| = 0/|0|, which is undefined.

However, since r'(0) = 0, we can use the normal vector instead to find the direction of the tangent line at t=0.

The normal vector N(0) is given by N(t) = T'(t)/|T'(t)|. To find T'(t), we differentiate r'(t) with respect to t:

r''(t) = 4e^(2t) + 4e^(-2t)

So, r''(0) = 4 + 4 = 8. Thus, T'(0) = r''(0)/|r'(0)| = 8/0, which is undefined.

To find r'(t), we can differentiate r(t) using the product rule:

r'(t) = 2e^(2t), -2e^(-2t), 2te^(2t) + e^(2t)

To find r''(t), we can differentiate r'(t):

r''(t) = 4e^(2t), 4e^(-2t), 4te^(2t) + 4e^(2t)

Thus, r'(t) = 2e^(2t) - 2e^(-2t), and r''(t) = 8e^(2t) + 8e^(-2t).

Therefore, T(0) = e^(0) = 1, r''(0) = 8, r'(t) = 2e^(2t) - 2e^(-2t), and r''(t) = 8e^(2t) + 8e^(-2t).

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The appropriate test to the research would be either a between-subjects ANOVA or a within-subjects ANOVA, depending on the design of the study.

To investigate whether fans have different levels of enjoyment depending on the sport they watch, you can use either a between-subjects ANOVA or a within-subjects ANOVA.

Between-Subjects ANOVA: If each participant only watches one sporting event (e.g., one group watches baseball, another group watches basketball, and so on), you can use a between-subjects ANOVA. This design compares the mean enjoyment scores across different sports, treating the sports as independent groups.

Within-Subjects ANOVA: If each participant watches multiple sporting events (e.g., the same group of participants watches baseball, basketball, football, and soccer games), you can use a within-subjects ANOVA. This design compares the mean enjoyment scores of the participants across the different sports, treating the sports as repeated measures within each participant.

The choice between a between-subjects or within-subjects ANOVA depends on the design of your study and the specific research question.

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34.............................. ........

Answer:

i am not surte

Step-by-step explanation:

\((\stackrel{x_1}{11}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{11}}} \implies \cfrac{-1 +8}{-5} \implies \cfrac{ 7 }{ -5 } \implies - \cfrac{7 }{ 5 }\)

Answer:

Mean = 32.8

Step-by-step Explanation:

Mean is given as Mean = (Σfx)/Σf

First, find the mid-point, x, of each class, and multiply by the frequency (f) of the class to get fx:

Class ==> f ==> x ==> fx

0-10   =>  3   =>  5  => 15

10-20 =>  8  => 15 => 120

20-30 => 10 => 25 => 250

30-40 => 15 => 35 => 525

40-50 =>  7  => 45 => 315

50-60 =>  4  => 55 => 220

60-70 =>  3  => 65 => 195

Sum the fx of all classes together to get Σfx:

Σfx = 15 + 120 + 250 + 525 + 315 + 220 + 195 = 1,640

Σf = 3 + 8 + 10 + 15 + 7 + 4 + 3 = 50

(Σfx)/Σf = \( \frac{1,640}{50} \)

(Σfx)/Σf = \( 32.8 \)

Mean = 32.8

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer: y = -1/2x+7/2.

Step-by-step explanation:

Firstly, we need to understand the formula of point-slope form: y1-y2=m(r1-r2)

Where x and y is the coordinates and m is the slope respectively.

To find the slope:

y1-y2/r1-r2

In this case:

5-4/-3-(-1)=-1/2

We can then put the above slope and the point (-1,4) into the formula:

4-y = -1/2(-1-x)

-y = 1/2+1/2x-4

y = -1/2x+7/2

Alternatively:

y-4=-1/2(x-(-1))

y=-1/2x-1/2+4

y = -1/2x+7/2

Answer:

y - 5 = -1/2(x+3)

Step-by-step explanation

Slope = y2-y1/x2-x1

Slope = 4-5/-1-(-3) = -1/2

(x1,y1) = (-3,5)  

final answer : y - 5 = -1/2(x+3)

Therefore, there are 6 possible sandwiches in this scenario.

If the bakery offers chicken, tuna, and vegetable sandwiches on plain or onion bagels, there are a total of 3 sandwich fillings (chicken, tuna, vegetable) and 2 types of bagels (plain, onion). To determine the number of possible sandwiches, we multiply the number of options for each component:

Number of sandwich fillings: 3

Number of types of bagels: 2

Total number of possible sandwiches = Number of sandwich fillings * Number of types of bagels = 3 * 2 = 6

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The mode is the number that appears most frequently in a set of data. Therefore, we need to look at the data set to find the number that appears the most.

Follow these steps to find the mode in your data set:

1. Put your data in order from smallest to largest.
2. Count how many times each number appears.
3. The number that appears most frequently is the mode.

Once you have determined the mode for each individual in the data set, you can compare them to find who had the highest mode score. The individual with the highest mode score is the one who had the number that appeared most frequently.

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Answer:

Q1: equal

Q2: smaller

Q3:equal

Q4 smaller

Q5: bigger

Step-by-step explanation:

Answer:

26 pounds of fudge in one hour